Graphical matrices in chemistry

Nikolić, Sonja; Miličević, Ante; Trinajstić, Nenad (2005) Graphical matrices in chemistry. Croatica Chemica Acta, 78 (2). pp. 241-250. ISSN 0011-1643

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Abstract

Graphical matrices are presented. Their construction via selected sets of subgraphs and the replacement of subgraphs by numbers representing graph invariants are discussed. The last step of the procedure is applying the method of choice to obtain the desired double invariant from the graphical matrix in the numerical form. It is also pointed out that many so-called special graph-theoretical matrices from the literature are rooted in the corresponding graphical matrices. As examples of double invariants, two descriptors, the Wiener-Wiener index and the Hosoya-Wiener index, have been generated from the appropriate graphical matrices and used in the structure-boiling point and structure-steric energy modeling of octanes. The obtained models possess statistical parameters comparable to those of the best structure-boiling point and structure-steric energy models for octanes in the literature.

Item Type:	Article
Uncontrolled Keywords:	chemical graph theory; double invariants; graphical matrices; Hosoya-Wiener index; molecular descriptors; structure-property modeling; Wiener-Wiener index; molecular descriptors; wiener index; structure-property; zagreb indexes; invariants; trees
Subjects:	NATURAL SCIENCES > Chemistry
Divisions:	Division for Marine and Enviromental Research Division of Physical Chemistry
Projects:	Project title Project leader Project code Project type Razvoj i primjena modela u kemiji i bioinformatici Nenad Trinajstić 0098034 MZOS
Depositing User:	Nenad Trinajstić
Date Deposited:	09 Oct 2013 14:24
URI:	http://fulir.irb.hr/id/eprint/750

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